The graph of a member of a family of solutions of a second-order differential equation d2y/dx2 = f(x, y, y′) is given. (i) Match the solution curve with at least one pair of the following initial conditions. (Select all that apply.) y(1) = 1, y′(1) = −2 y(−1) = 0, y′(−1) = −4 y(1) = 1, y′(1) = 2 y(0) = −1, y′(0) = 2 y(0) = −1, y′(0) = 0 y(0) = −4, y′(0) = −2
A random sample of 86 airline pilots recruited by an airline service had an average yearly income of $99, 100 with a standard deviation of $11, 000. (a) If we want to determine a 95% confidence interval for the average yearly income of the population, what is the value of t? (Round your answer to three decimal places.) t = (b) Develop a 95% confidence interval for the average yearly income of all pilots (in dollars). (Round your answers to the nearest dollar.) $ to $ You may need to use the appropriate appendix table or technology to answer this question.